The Relation between the Probability of Collision-Free Broadcast Transmission in a Wireless Network and the Stirling Number of the Second Kind [PDF]
Mathematics, 2018 The broadcast performance of the 802.11 wireless protocol depends on several factors. One of the important factor is the number of nodes simultaneously contending for the shared channel.
Prakash Veeraraghavan Golnar Khomami +2 more
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From Beale Number to Pole Placement Design of a Free Piston Stirling Engine [PDF]
Archive of Mechanical Engineering, 2017 In this paper, pole placement-based design and analysis of a free piston Stirling engine (FPSE) is presented and compared to the well-defined Beale number design technique.
Zare Shahryar +2 more
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Counting Stirling permutations by number of pushes [PDF]
, 2020 Let 𝒯(k)n denote the set of k-Stirling permutations having n distinct letters. Here, we consider the number of steps required (i.e., pushes) to rearrange the letters of a member of 𝒯(k)n so that they occur in non-decreasing order. We find recurrences for
Toufik Mansour, Mark Shattuck
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The Relationship of Multiset, Stirling Number, Bell Number, and Catalan Number
Science and Technology Indonesia, 2023 Catalan numbers is not as famous as Fibonacci numbers, however this number has own its beauty and arts. Catalan numbers was discovered by Ming Antu in 1730, however, this numbers is credited to Eugene Catalan when he was studying parentheses in 1838 ...
Wamiliana Wamiliana +2 more
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Multiple Bracket Function, Stirling Number, and Lah Number Identities [PDF]
, 2012 The author has constructed multiple analogues of several families of combinatorial numbers in a recent article, including the bracket symbol, and the Stirling numbers of the first and second kind.
Hasan Coskun
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Logarithms of a binomial series: A Stirling number approach [PDF]
Ars Math. Contemp., 2019 The $p$-th power of the logarithm of the Catalan generating function is computed using the Stirling cycle numbers. Instead of Stirling numbers, one may write this generating function in terms of higher order harmonic numbers.
Helmut Prodinger
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Stirling interpolation using triangular fuzzy number [PDF]
, 2019 In this paper the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The Stirling interpolation method is studied with triangular fuzzy number an example is provided
Thangaraj Beaula, P. Caroline Mary
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High-Energy String Scattering Amplitudes and Signless Stirling Number Identity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from
Jen-Chi Lee, Catherine H. Yan, Yi Yang
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Automated Proofs for Some Stirling Number Identities [PDF]
Electronic Journal of Combinatorics, 2008 We present computer-generated proofs for some summation identities for ($q$-)Stirling and ($q$-)Eulerian numbers that were obtained by combining a recent summation algorithm for Stirling number identities with a recurrence solver for difference fields.
Manuel Kauers, Carsten Schneider
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Combinatorial proofs of some Stirling number formulas [PDF]
, 2015 In this note, we provide bijective proofs of some recent identities involving Stirling numbers of the second kind, as previously requested. Our arguments also yield generalizations in terms of a well known q-Stirling number.
Mark Shattuck
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